Year 2019, Volume 32, Issue 2, Pages 705 - 716 2019-06-01

Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs

Hatice Tul Kubra AKDUR [1] , Deniz OZONUR [2] , Hasan Huseyin GUL [3] , Hulya BAYRAK [4]

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Nonparametric tests are useful when underlying distribution of a population is unknown or sample size is quiet small to satisfy assumptions of a traditional F test. Nonparametric tests have a good usage in a sample which consists of observations from various populations, as well. Randomized block designs are purposive when experimental subjects vary in natural heterogeneity. Nonparametric tests which are suitable for two-way ANOVA designs where the blocks containing observations which follow an increasing or a decreasing trend are main focus of this study. A recently proposed nonparametric test which was developed as an alternative to Jonckheere test is modified for ordered alternative hypotheses in randomized complete block designs. This modification test and several nonparametric tests for detecting ordered alternative hypotheses in randomized complete block designs are compared empirically in a broad set of Monte Carlo simulations under different conditions. A numerical example is provided to illustrate test procedures. The modified test provides better performance than Jonckheere test in terms of type I error and power values whereas Hollander test provides slightly better power values among the other test statistics. In terms of type I error values, it can be stated that the most conservative test is Jonckheere test whereas, estimated type 1 error values of the other test statistics are usually closer to nominal level of alpha.

Analysis of variance, Ordered alternative, Randomized block, Rank-based tests
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Primary Language en
Subjects Engineering
Journal Section Statistics
Authors

Orcid: 0000-0003-2144-0518
Author: Hatice Tul Kubra AKDUR (Primary Author)
Institution: GAZİ ÜNİVERSİTESİ, FEN FAKÜLTESİ
Country: Turkey


Orcid: 0000-0002-7622-1008
Author: Deniz OZONUR

Orcid: 0000-0003-4280-4800
Author: Hasan Huseyin GUL

Orcid: 0000-0001-5666-4250
Author: Hulya BAYRAK

Dates

Publication Date: June 1, 2019

Bibtex @research article { gujs439731, journal = {GAZI UNIVERSITY JOURNAL OF SCIENCE}, issn = {}, eissn = {2147-1762}, address = {Gazi University}, year = {2019}, volume = {32}, pages = {705 - 716}, doi = {}, title = {Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs}, key = {cite}, author = {AKDUR, Hatice Tul Kubra and OZONUR, Deniz and GUL, Hasan Huseyin and BAYRAK, Hulya} }
APA AKDUR, H , OZONUR, D , GUL, H , BAYRAK, H . (2019). Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs. GAZI UNIVERSITY JOURNAL OF SCIENCE, 32 (2), 705-716. Retrieved from http://dergipark.org.tr/gujs/issue/45480/439731
MLA AKDUR, H , OZONUR, D , GUL, H , BAYRAK, H . "Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs". GAZI UNIVERSITY JOURNAL OF SCIENCE 32 (2019): 705-716 <http://dergipark.org.tr/gujs/issue/45480/439731>
Chicago AKDUR, H , OZONUR, D , GUL, H , BAYRAK, H . "Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs". GAZI UNIVERSITY JOURNAL OF SCIENCE 32 (2019): 705-716
RIS TY - JOUR T1 - Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs AU - Hatice Tul Kubra AKDUR , Deniz OZONUR , Hasan Huseyin GUL , Hulya BAYRAK Y1 - 2019 PY - 2019 N1 - DO - T2 - GAZI UNIVERSITY JOURNAL OF SCIENCE JF - Journal JO - JOR SP - 705 EP - 716 VL - 32 IS - 2 SN - -2147-1762 M3 - UR - Y2 - 2018 ER -
EndNote %0 GAZI UNIVERSITY JOURNAL OF SCIENCE Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs %A Hatice Tul Kubra AKDUR , Deniz OZONUR , Hasan Huseyin GUL , Hulya BAYRAK %T Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs %D 2019 %J GAZI UNIVERSITY JOURNAL OF SCIENCE %P -2147-1762 %V 32 %N 2 %R %U
ISNAD AKDUR, Hatice Tul Kubra , OZONUR, Deniz , GUL, Hasan Huseyin , BAYRAK, Hulya . "Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs". GAZI UNIVERSITY JOURNAL OF SCIENCE 32 / 2 (June 2019): 705-716.
AMA AKDUR H , OZONUR D , GUL H , BAYRAK H . Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs. GAZI UNIVERSITY JOURNAL OF SCIENCE. 2019; 32(2): 705-716.
Vancouver AKDUR H , OZONUR D , GUL H , BAYRAK H . Comparison of Rank-Based Tests for Ordered Alternative Hypotheses in Randomized Complete Block Designs. GAZI UNIVERSITY JOURNAL OF SCIENCE. 2019; 32(2): 716-705.